5 /* Copyright (C) 1995,1996,1998,2000,2001 Free Software Foundation, Inc.
7 * This program is free software; you can redistribute it and/or modify
8 * it under the terms of the GNU General Public License as published by
9 * the Free Software Foundation; either version 2, or (at your option)
12 * This program is distributed in the hope that it will be useful,
13 * but WITHOUT ANY WARRANTY; without even the implied warranty of
14 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
15 * GNU General Public License for more details.
17 * You should have received a copy of the GNU General Public License
18 * along with this software; see the file COPYING. If not, write to
19 * the Free Software Foundation, Inc., 59 Temple Place, Suite 330,
20 * Boston, MA 02111-1307 USA
22 * As a special exception, the Free Software Foundation gives permission
23 * for additional uses of the text contained in its release of GUILE.
25 * The exception is that, if you link the GUILE library with other files
26 * to produce an executable, this does not by itself cause the
27 * resulting executable to be covered by the GNU General Public License.
28 * Your use of that executable is in no way restricted on account of
29 * linking the GUILE library code into it.
31 * This exception does not however invalidate any other reasons why
32 * the executable file might be covered by the GNU General Public License.
34 * This exception applies only to the code released by the
35 * Free Software Foundation under the name GUILE. If you copy
36 * code from other Free Software Foundation releases into a copy of
37 * GUILE, as the General Public License permits, the exception does
38 * not apply to the code that you add in this way. To avoid misleading
39 * anyone as to the status of such modified files, you must delete
40 * this exception notice from them.
42 * If you write modifications of your own for GUILE, it is your choice
43 * whether to permit this exception to apply to your modifications.
44 * If you do not wish that, delete this exception notice. */
46 /* Software engineering face-lift by Greg J. Badros, 11-Dec-1999,
47 gjb@cs.washington.edu, http://www.cs.washington.edu/homes/gjb */
50 #include "libguile/__scm.h"
51 #include "libguile/print.h"
57 * Inums are exact integer data that fits within an SCM word.
59 * SCM_INUMP applies only to values known to be Scheme objects.
60 * In particular, SCM_INUMP (SCM_CAR (x)) is valid only if x is known
61 * to be a SCM_CONSP. If x is only known to be a SCM_NIMP,
62 * SCM_INUMP (SCM_CAR (x)) can give wrong answers.
65 #define SCM_FIXNUM_BIT (SCM_LONG_BIT - 2)
66 #define SCM_MOST_POSITIVE_FIXNUM ((1L << (SCM_FIXNUM_BIT - 1)) - 1)
67 #define SCM_MOST_NEGATIVE_FIXNUM (-SCM_MOST_POSITIVE_FIXNUM - 1)
70 /* SCM_SRS is signed right shift */
71 #if (-1 == (((-1) << 2) + 2) >> 2)
72 # define SCM_SRS(x, y) ((x) >> (y))
74 # define SCM_SRS(x, y) ((SCM_UNPACK (x) < 0) ? ~((~SCM_UNPACK (x)) >> (y)) : (SCM_UNPACK (x) >> (y)))
75 #endif /* (-1 == (((-1) << 2) + 2) >> 2) */
78 #define SCM_INUMP(x) (2 & SCM_UNPACK (x))
79 #define SCM_NINUMP(x) (!SCM_INUMP (x))
80 #define SCM_MAKINUM(x) (SCM_PACK (((x) << 2) + 2L))
81 #define SCM_INUM(x) (SCM_SRS (SCM_UNPACK (x), 2))
84 /* SCM_FIXABLE is true if its long argument can be encoded in an SCM_INUM. */
85 #define SCM_POSFIXABLE(n) ((n) <= SCM_MOST_POSITIVE_FIXNUM)
86 #define SCM_NEGFIXABLE(n) ((n) >= SCM_MOST_NEGATIVE_FIXNUM)
87 #define SCM_FIXABLE(n) (SCM_POSFIXABLE(n) && SCM_NEGFIXABLE(n))
91 #define SCM_INUM0 (SCM_MAKINUM (0))
94 /* SCM_MAXEXP is the maximum double precision expontent
95 * SCM_FLTMAX is less than or scm_equal the largest single precision float
101 #endif /* ndef GO32 */
102 #endif /* def STDC_HEADERS */
103 #ifdef DBL_MAX_10_EXP
104 #define SCM_MAXEXP DBL_MAX_10_EXP
106 #define SCM_MAXEXP 308 /* IEEE doubles */
107 #endif /* def DBL_MAX_10_EXP */
109 #define SCM_FLTMAX FLT_MAX
111 #define SCM_FLTMAX 1e+23
112 #endif /* def FLT_MAX */
115 /* SCM_INTBUFLEN is the maximum number of characters neccessary for the
116 * printed or scm_string representation of an exact immediate.
118 #define SCM_INTBUFLEN (5 + SCM_LONG_BIT)
125 #define SCM_SLOPPY_INEXACTP(x) (SCM_TYP16S (x) == scm_tc16_real)
126 #define SCM_SLOPPY_REALP(x) (SCM_TYP16 (x) == scm_tc16_real)
127 #define SCM_SLOPPY_COMPLEXP(x) (SCM_TYP16 (x) == scm_tc16_complex)
128 #define SCM_INEXACTP(x) (SCM_NIMP (x) && SCM_TYP16S (x) == scm_tc16_real)
129 #define SCM_REALP(x) (SCM_NIMP (x) && SCM_TYP16 (x) == scm_tc16_real)
130 #define SCM_COMPLEXP(x) (SCM_NIMP (x) && SCM_TYP16 (x) == scm_tc16_complex)
132 #define SCM_REAL_VALUE(x) (((scm_double_t *) SCM2PTR (x))->real)
133 #define SCM_COMPLEX_MEM(x) ((scm_complex_t *) SCM_CELL_WORD_1 (x))
134 #define SCM_COMPLEX_REAL(x) (SCM_COMPLEX_MEM (x)->real)
135 #define SCM_COMPLEX_IMAG(x) (SCM_COMPLEX_MEM (x)->imag)
137 /* Define SCM_BIGDIG to an integer type whose size is smaller than long if
138 * you want bignums. SCM_BIGRAD is one greater than the biggest SCM_BIGDIG.
140 * Define SCM_DIGSTOOBIG if the digits equivalent to a long won't fit in a long.
144 # define SCM_DIGSTOOBIG
145 # if (1L << 31) <= SCM_USHRT_MAX
146 # define SCM_BIGDIG unsigned short
148 # define SCM_BIGDIG unsigned int
149 # endif /* (1L << 31) <= USHRT_MAX */
150 # define SCM_BITSPERDIG 32
152 # define SCM_BIGDIG unsigned short
153 # define SCM_BITSPERDIG (sizeof(SCM_BIGDIG)*SCM_CHAR_BIT)
154 # endif /* def _UNICOS */
156 # define SCM_BIGRAD (1L << SCM_BITSPERDIG)
157 # define SCM_DIGSPERLONG ((scm_sizet)((sizeof(long)*SCM_CHAR_BIT+SCM_BITSPERDIG-1)/SCM_BITSPERDIG))
158 # define SCM_BIGUP(x) ((unsigned long)(x) << SCM_BITSPERDIG)
159 # define SCM_LONGLONGBIGUP(x) ((ulong_long)(x) << SCM_BITSPERDIG)
160 # define SCM_BIGDN(x) ((x) >> SCM_BITSPERDIG)
161 # define SCM_BIGLO(x) ((x) & (SCM_BIGRAD-1))
162 #endif /* def BIGNUMS */
165 /* Definition is not really used but helps various function
166 * prototypes to compile with conditionalization.
168 # define SCM_BIGDIG unsigned short
169 #endif /* ndef SCM_BIGDIG */
171 #define SCM_NUMBERP(x) (SCM_INUMP(x) || SCM_NUMP(x))
172 #define SCM_NUMP(x) (!SCM_IMP(x) && (0xfcff & SCM_CELL_TYPE (x)) == scm_tc7_smob)
173 #define SCM_BIGP(x) (!SCM_IMP (x) && (SCM_TYP16 (x) == scm_tc16_big))
174 #define SCM_BIGSIGNFLAG 0x10000L
175 #define SCM_BIGSIZEFIELD 17
176 #define SCM_BIGSIGN(x) (SCM_CELL_WORD_0 (x) & SCM_BIGSIGNFLAG)
177 #define SCM_BDIGITS(x) ((SCM_BIGDIG *) (SCM_CELL_WORD_1 (x)))
178 #define SCM_SET_BIGNUM_BASE(n, b) (SCM_SET_CELL_WORD_1 ((n), (b)))
179 #define SCM_NUMDIGS(x) ((scm_sizet) (SCM_CELL_WORD_0 (x) >> SCM_BIGSIZEFIELD))
180 #define SCM_SETNUMDIGS(x, v, sign) \
181 SCM_SET_CELL_WORD_0 (x, \
183 | ((sign) ? SCM_BIGSIGNFLAG : 0) \
184 | (((v) + 0L) << SCM_BIGSIZEFIELD))
188 typedef struct scm_double_t
195 typedef struct scm_complex_t
203 extern SCM
scm_exact_p (SCM x
);
204 extern SCM
scm_odd_p (SCM n
);
205 extern SCM
scm_even_p (SCM n
);
206 extern SCM
scm_abs (SCM x
);
207 extern SCM
scm_quotient (SCM x
, SCM y
);
208 extern SCM
scm_remainder (SCM x
, SCM y
);
209 extern SCM
scm_modulo (SCM x
, SCM y
);
210 extern SCM
scm_gcd (SCM x
, SCM y
);
211 extern SCM
scm_lcm (SCM n1
, SCM n2
);
212 extern SCM
scm_logand (SCM n1
, SCM n2
);
213 extern SCM
scm_logior (SCM n1
, SCM n2
);
214 extern SCM
scm_logxor (SCM n1
, SCM n2
);
215 extern SCM
scm_logtest (SCM n1
, SCM n2
);
216 extern SCM
scm_logbit_p (SCM n1
, SCM n2
);
217 extern SCM
scm_lognot (SCM n
);
218 extern SCM
scm_integer_expt (SCM z1
, SCM z2
);
219 extern SCM
scm_ash (SCM n
, SCM cnt
);
220 extern SCM
scm_bit_extract (SCM n
, SCM start
, SCM end
);
221 extern SCM
scm_logcount (SCM n
);
222 extern SCM
scm_integer_length (SCM n
);
223 extern SCM
scm_mkbig (scm_sizet nlen
, int sign
);
224 extern SCM
scm_big2inum (SCM b
, scm_sizet l
);
225 extern SCM
scm_adjbig (SCM b
, scm_sizet nlen
);
226 extern SCM
scm_normbig (SCM b
);
227 extern SCM
scm_copybig (SCM b
, int sign
);
228 extern SCM
scm_long2big (long n
);
229 #ifdef HAVE_LONG_LONGS
230 extern SCM
scm_long_long2big (long_long n
);
232 extern SCM
scm_2ulong2big (unsigned long * np
);
233 extern SCM
scm_ulong2big (unsigned long n
);
234 extern int scm_bigcomp (SCM x
, SCM y
);
235 extern long scm_pseudolong (long x
);
236 extern void scm_longdigs (long x
, SCM_BIGDIG digs
[]);
237 extern SCM
scm_addbig (SCM_BIGDIG
*x
, scm_sizet nx
, int xsgn
, SCM bigy
, int sgny
);
238 extern SCM
scm_mulbig (SCM_BIGDIG
*x
, scm_sizet nx
, SCM_BIGDIG
*y
, scm_sizet ny
, int sgn
);
239 extern unsigned int scm_divbigdig (SCM_BIGDIG
*ds
, scm_sizet h
, SCM_BIGDIG div
);
240 extern scm_sizet
scm_iint2str (long num
, int rad
, char *p
);
241 extern SCM
scm_number_to_string (SCM x
, SCM radix
);
242 extern int scm_print_real (SCM sexp
, SCM port
, scm_print_state
*pstate
);
243 extern int scm_print_complex (SCM sexp
, SCM port
, scm_print_state
*pstate
);
244 extern int scm_bigprint (SCM exp
, SCM port
, scm_print_state
*pstate
);
245 extern SCM
scm_istr2int (char *str
, long len
, long radix
);
246 extern SCM
scm_istr2flo (char *str
, long len
, long radix
);
247 extern SCM
scm_istring2number (char *str
, long len
, long radix
);
248 extern SCM
scm_string_to_number (SCM str
, SCM radix
);
249 extern SCM
scm_make_real (double x
);
250 extern SCM
scm_make_complex (double x
, double y
);
251 extern SCM
scm_bigequal (SCM x
, SCM y
);
252 extern SCM
scm_real_equalp (SCM x
, SCM y
);
253 extern SCM
scm_complex_equalp (SCM x
, SCM y
);
254 extern SCM
scm_number_p (SCM x
);
255 extern SCM
scm_real_p (SCM x
);
256 extern SCM
scm_integer_p (SCM x
);
257 extern SCM
scm_inexact_p (SCM x
);
258 extern SCM
scm_num_eq_p (SCM x
, SCM y
);
259 extern SCM
scm_less_p (SCM x
, SCM y
);
260 extern SCM
scm_gr_p (SCM x
, SCM y
);
261 extern SCM
scm_leq_p (SCM x
, SCM y
);
262 extern SCM
scm_geq_p (SCM x
, SCM y
);
263 extern SCM
scm_zero_p (SCM z
);
264 extern SCM
scm_positive_p (SCM x
);
265 extern SCM
scm_negative_p (SCM x
);
266 extern SCM
scm_max (SCM x
, SCM y
);
267 extern SCM
scm_min (SCM x
, SCM y
);
268 extern SCM
scm_sum (SCM x
, SCM y
);
269 extern SCM
scm_difference (SCM x
, SCM y
);
270 extern SCM
scm_product (SCM x
, SCM y
);
271 extern double scm_num2dbl (SCM a
, const char * why
);
272 extern SCM
scm_divide (SCM x
, SCM y
);
273 extern double scm_asinh (double x
);
274 extern double scm_acosh (double x
);
275 extern double scm_atanh (double x
);
276 extern double scm_truncate (double x
);
277 extern double scm_round (double x
);
278 extern double scm_exact_to_inexact (double z
);
279 extern SCM
scm_sys_expt (SCM z1
, SCM z2
);
280 extern SCM
scm_sys_atan2 (SCM z1
, SCM z2
);
281 extern SCM
scm_make_rectangular (SCM z1
, SCM z2
);
282 extern SCM
scm_make_polar (SCM z1
, SCM z2
);
283 extern SCM
scm_real_part (SCM z
);
284 extern SCM
scm_imag_part (SCM z
);
285 extern SCM
scm_magnitude (SCM z
);
286 extern SCM
scm_angle (SCM z
);
287 extern SCM
scm_inexact_to_exact (SCM z
);
288 extern SCM
scm_trunc (SCM x
);
289 extern SCM
scm_dbl2big (double d
);
290 extern double scm_big2dbl (SCM b
);
291 extern SCM
scm_long2num (long sl
);
292 extern SCM
scm_ulong2num (unsigned long sl
);
293 extern long scm_num2long (SCM num
, unsigned long int pos
,
294 const char *s_caller
);
295 #ifdef HAVE_LONG_LONGS
296 extern SCM
scm_long_long2num (long_long sl
);
297 extern long_long
scm_num2long_long (SCM num
, unsigned long int pos
,
298 const char *s_caller
);
299 extern ulong_long
scm_num2ulong_long (SCM num
, unsigned long int pos
,
300 const char *s_caller
);
302 extern unsigned long scm_num2ulong (SCM num
, unsigned long int pos
,
303 const char *s_caller
);
304 extern void scm_init_numbers (void);
308 #if (SCM_DEBUG_DEPRECATED == 0)
310 typedef struct scm_dblproc
316 #define SCM_UNEGFIXABLE(n) ((n) <= -SCM_MOST_NEGATIVE_FIXNUM)
317 #define SCM_FLOBUFLEN (10+2*(sizeof(double)/sizeof(char)*SCM_CHAR_BIT*3+9)/10)
318 #define SCM_INEXP(x) SCM_INEXACTP(x)
319 #define SCM_CPLXP(x) SCM_COMPLEXP(x)
320 #define SCM_REAL(x) (SCM_SLOPPY_REALP (x) ? SCM_REAL_VALUE (x) : SCM_COMPLEX_REAL (x))
321 #define SCM_IMAG(x) (SCM_SLOPPY_REALP (x) ? 0.0 : SCM_COMPLEX_IMAG (x))
322 #define SCM_REALPART(x) (SCM_SLOPPY_REALP (x) ? SCM_REAL_VALUE (x) : SCM_COMPLEX_REAL (x))
323 #define scm_makdbl scm_make_complex
324 #define SCM_SINGP(x) 0
325 #define SCM_NUM2DBL(x) scm_num2dbl(x, "SCM_NUM2DBL")
328 # define SCM_NO_BIGDIG
331 #endif /* SCM_DEBUG_DEPRECATED == 0 */
333 #endif /* NUMBERSH */